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Finding the Third Proportional to 24,935.50 and 54,109.56

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Solution

The third proportional to 24,935.50 and 54,109.56 is: 117,416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,935.50 : 54,109.56 = 54,109.56 : x
  2. Step 2: Convert to fraction form
    24,935.50/54,109.56 = 54,109.56/x
  3. Step 3: Cross multiply
    24,935.50x = 54,109.56 × 54,109.56
  4. Step 4: Simplify right side
    24,935.50x = 2,927,844,753.94
  5. Step 5: Solve for x
    x = 2,927,844,753.94/24,935.50
  6. Step 6: Final answer
    x = 117,416.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.